Compact Equivalent Inverse of the Electric Field Integral Operator on Screens
Open access
Date
2020Type
- Journal Article
Abstract
We construct inverses of the variational electric field boundary integral operator up to compact perturbations on orientable topologically simple screens. We describe them as solution operators of variational problems set in low-regularity standard trace spaces. On flat disks these variational problems do not involve the inversion of any non-local operators. This result lays the foundation for operator preconditioning for the discretized electric field integral equation. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000403145Publication status
publishedExternal links
Journal / series
Integral Equations and Operator TheoryVolume
Pages / Article No.
Publisher
BirkhäuserSubject
Boundary integral operators; Electric field integral equation; Screens; Hodge decompositionOrganisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf
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